A rectangular room must have a maximum area of 84 square feet. If the room is to be 8 feet wide, what is the longest the room ca

Question

3 years ago

14

n be?. . . 10.4. 10.5. 10.6. . do i just multiply and if so its 10.5

2 answers:

Katarina [22] · Answer 1 · 2022-08-22T01:45:28+03:00

Answer:

Length of the room should be 10.5 feet.

Step-by-step explanation:

The maximum area of a rectangular room is 84 square feet.

let the length of the room = x feet

Then area of the room = length × width

84 = length × 8 = 8x

Length x = 84/8 = 10.5 feet.

So the answer should be 10.5 feet

melomori [17] · Answer 2 · 2022-08-22T04:08:52+03:00

Answer:

Option 2nd is correct

10.5 feet is the longest the room can be

Step-by-step explanation:

Area of Rectangle(A) is given by:

$A = lw$ ....[1]

where, l is the length and w is the width of the rectangle.

As per the statement:

A rectangular room must have a maximum area of 84 square feet.

⇒A = 84 square feet.

It is also given that If the room is to be 8 feet wide.

⇒ w = 8 feet

Substitute the given values in [1] we have;

$84 = 8l$

Divide both sides by 8 we have;

$10.5 = l$

or

l = 10.5 feet

Therefore, the longest the room can be 10.5 feet